101631895680 has 192 divisors, whose sum is σ = 376842084480. Its totient is φ = 23230126080.

The previous prime is 101631895649. The next prime is 101631895697. The reversal of 101631895680 is 86598136101.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 446056 + ... + 634215.

It is an arithmetic number, because the mean of its divisors is an integer number (1962719190).

Almost surely, 2^101631895680 is an apocalyptic number.

101631895680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101631895680 is an abundant number, since it is smaller than the sum of its proper divisors (275210188800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101631895680 is a wasteful number, since it uses less digits than its factorization.

101631895680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080307 (or 1080288 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The spelling of 101631895680 in words is "one hundred one billion, six hundred thirty-one million, eight hundred ninety-five thousand, six hundred eighty".